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84112488 = 23321936053
BaseRepresentation
bin1010000001101…
…11010001101000
312212021100122100
411000313101220
5133013044423
612202453400
72040641625
oct500672150
9185240570
1084112488
114352aa59
1224204260
1314570205
14b25734c
1575b7343
hex5037468

84112488 has 48 divisors (see below), whose sum is σ = 229022820. Its totient is φ = 27887616.

The previous prime is 84112477. The next prime is 84112489. The reversal of 84112488 is 88421148.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 71876484 + 12236004 = 8478^2 + 3498^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (84112489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10870 + ... + 16922.

Almost surely, 284112488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84112488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114511410).

84112488 is an abundant number, since it is smaller than the sum of its proper divisors (144910332).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

84112488 is a wasteful number, since it uses less digits than its factorization.

84112488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6258 (or 6251 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The square root of 84112488 is about 9171.2860603080. The cubic root of 84112488 is about 438.1473201816.

The spelling of 84112488 in words is "eighty-four million, one hundred twelve thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 193 386 579 772 1158 1544 1737 2316 3474 4632 6053 6948 12106 13896 18159 24212 36318 48424 54477 72636 108954 145272 217908 435816 1168229 2336458 3504687 4672916 7009374 9345832 10514061 14018748 21028122 28037496 42056244 84112488